People experiencing incarceration are disproportionately impacted by HIV and are potential candidates for HIV preexposure prophylaxis (PrEP). We explored factors associated with PrEP interest and PrEP uptake and described barriers to PrEP uptake among incarcerated men in a state correctional system. From September 2019 to July 2022, incarcerated men at the Rhode Island Department of Corrections were screened for PrEP eligibility and referred to a PrEP initiation study. We used bivariate analyses and multivariable logistic regression models to explore factors associated with PrEP interest and uptake in the screening sample. Of the men screened and determined to be eligible for PrEP, approximately half (50%) were interested in taking PrEP. Individuals identifying as men who have sex with men (adjusted odds ratio, 4.46; 95% confidence interval, 1.86-11.4) and having multiple female sex partners (adjusted odds ratio, 2.98; 95% confidence interval, 1.47-6.27) were more likely to express interest in PrEP (interested/not interested) than those not reporting these behavioral factors. Preexposure prophylaxis uptake (yes/no) was 38%. Lack of PrEP interest, low self-perceived risk of HIV acquisition, and unpredictable lengths of incarceration were the most frequently encountered barriers to PrEP uptake. Men reporting sexual transmission behaviors were more interested in PrEP and had higher uptake than other men. Preexposure prophylaxis interest and HIV risk factors were both moderately high, which suggests that men experiencing incarceration should be screened for and offered PrEP as part of standard clinical care. Study findings have important implications for research and practice to adapt PrEP care to correctional systems.